Asian Journal of Mathematics

Volume 22 (2018)

Number 4

Special issue in honor of Ngaiming Mok (3 of 3)

Guest Editors: Jun-Muk Hwang, Korea Institute for Advanced Study; Yum-Tong Siu, Harvard University; Wing-Keung To, National University of Singapore; Stephen S.-T. Yau, Tsinghua University; Sai-Kee Yeung, Purdue University

Non-diagonal holomorphic isometric embeddings of the Poincaré disk into the Siegel upper half-plane

Pages: 665 – 672

DOI: http://dx.doi.org/10.4310/AJM.2018.v22.n4.a3

Author

Feng Rong (Department of Mathematics, School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, China)

Abstract

In this paper, we give new examples of non-diagonal holomorphic isometric embeddings of the Poincaré disk into the Siegel upper half-plane.

Keywords

holomorphic isometric embedding, Poincaré disk, Siegel upper half-plane, Bergman metric

2010 Mathematics Subject Classification

32H02, 32M15, 53C35

Full Text (PDF format)

The author is partially supported by the National Natural Science Foundation of China (Grant No. 11431008).

Received 5 October 2016

Accepted 1 June 2017